a fruit fly population has a gene with two alleles, a1 and a2. tests show that 70% of the gametes produced in the population contain the a1 allele. if the population is in hardy-weinberg equilibrium, what proportion of the flies carry both a1 and a2?

0.21
0.7
0.42
0.49

Question

a fruit fly population has a gene with two alleles, a1 and a2. tests show that 70% of the gametes produced in the population contain the a1 allele. if the population is in hardy-weinberg equilibrium, what proportion of the flies carry both a1 and a2?

0.21
0.7
0.42
0.49

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Hardy-Weinberg Equilibrium", "Allele Frequencies", "Genotype Frequencies" ], "current_concepts": [ "Hardy-Weinberg Equilibrium", "Allele Frequencies", "Genotype Frequencies" ] } ## Identify the given allele frequencies $$ \begin{aligned} p &= f(A_1) = 0.70 \ q &= f(A_2) = 1 - p = 0.30 \end{aligned} $$ ## Calculate the heterozygous genotype frequency $$ \begin{aligned} f(A_1 A_2) &= 2pq \ &= 2 \times 0.70 \times 0.30 \ &= 0.42 \end{aligned} $$

0.21

0.7

0.42

0.49

{ "subject": "Natural Science", "question_type": "Multiple Choice", "knowledge_point": [ "Natural Science", "Biology", "Population Genetics" ] }

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Question

Explanation:

Identify the given allele frequencies

Calculate the heterozygous genotype frequency

Answer: